On Invariants of Morse Knots

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We define and study Vassiliev invariants for (long) Morse knots. It is shown that there are Vassiliev invariants which can distinguish some topologically equivalent Morse knots. In particular, there is an invariant of order 3 for Morse knots with one maximum that distinguishes two different representations of the figure eight knot. We also present the results of computer calculations for some invariants of low order. It turns out that for Morse knots with two maxima there is a Z/2-valued invariant of order 6 which is not a reduction of any integer-valued invariant.
12 pages, lots of figures

Keywords

Geometric Topology, 57M25; 57M27

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/59722

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0008096
 http://arxiv.org/abs/math/0008096

Collections

arXiv